When a number is divided by 2, the remainder is 1. When the same number is divided by 3,4, 5. the remainder is 2,3 and 4 respectively. what is the least number

Question

This question is about remainder theorem

Answer 1

Since the remainder after division by 5 is 4, and the remainder after division 2 is 1, the number must have 9 in the one's place.

 

9, 29, 39, and 49 do not meet all the conditions,

 

59/2 = 29, r. 1

59/3 = 19, r. 2

59/4 = 14, r. 3

59/5 = 11, r. 4

 

 

59 is your result.

 

A²